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Updated: Jan 27, 2026

Evolution of Staircase Structures in Diffusive Convection
Published on: September 5, 2018
Theory of Diffusive Fluctuations
Xinyi Chen-Lin1, Luca V Delacrétaz1, Sean A Hartnoll1
1Department of Physics, Stanford University, Stanford, California 94305-4060, USA.
Abstract:
The recently developed effective field theory of fluctuations around thermal equilibrium is used to compute late-time correlation functions of conserved densities. Specializing to systems with a single conservation law, we find that the diffusive pole is shifted in the presence of nonlinear hydrodynamic self-interactions, and that the density-density Green's function acquires a branch point halfway to the diffusive pole, at frequency ω=-(i/2)Dk^{2}. We discuss the relevance of diffusive fluctuations for strongly correlated transport in condensed matter and cold atomic systems.
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